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36606006 = 2378369
BaseRepresentation
bin1000101110100…
…1000000110110
32112212210000000
42023221000312
533332343011
63344332130
7623101023
oct213510066
975783000
1036606006
11197326a8
1210314046
137778a78
144c0c54a
153331356
hex22e9036

36606006 has 32 divisors (see below), whose sum is σ = 82360800. Its totient is φ = 12200544.

The previous prime is 36606001. The next prime is 36606007. The reversal of 36606006 is 60060663.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36606001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (2573775).

Almost surely, 236606006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36606006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41180400).

36606006 is an abundant number, since it is smaller than the sum of its proper divisors (45754794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36606006 is an frugal number, since it uses more digits than its factorization.

36606006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36606006 is about 6050.2897451279. The cubic root of 36606006 is about 332.0351912665.

Adding to 36606006 its reverse (60060663), we get a palindrome (96666669).

The spelling of 36606006 in words is "thirty-six million, six hundred six thousand, six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 8369 16738 25107 50214 75321 150642 225963 451926 677889 1355778 2033667 4067334 6101001 12202002 18303003 36606006